Cannon-Thurston Maps, i-bounded Geometry and a Theorem of McMullen

Mj, Mahan

Séminaire de théorie spectrale et géométrie, Tome 28 (2009-2010), pp. 63-107.

The notion of i-bounded geometry generalises simultaneously bounded geometry and the geometry of punctured torus Kleinian groups. We show that the limit set of a surface Kleinian group of i-bounded geometry is locally connected by constructing a natural Cannon-Thurston map.

Classification : 57M50

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